3x^2+26=4x^2+11

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Solution for 3x^2+26=4x^2+11 equation:


Simplifying
3x2 + 26 = 4x2 + 11

Reorder the terms:
26 + 3x2 = 4x2 + 11

Reorder the terms:
26 + 3x2 = 11 + 4x2

Solving
26 + 3x2 = 11 + 4x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x2' to each side of the equation.
26 + 3x2 + -4x2 = 11 + 4x2 + -4x2

Combine like terms: 3x2 + -4x2 = -1x2
26 + -1x2 = 11 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
26 + -1x2 = 11 + 0
26 + -1x2 = 11

Add '-26' to each side of the equation.
26 + -26 + -1x2 = 11 + -26

Combine like terms: 26 + -26 = 0
0 + -1x2 = 11 + -26
-1x2 = 11 + -26

Combine like terms: 11 + -26 = -15
-1x2 = -15

Divide each side by '-1'.
x2 = 15

Simplifying
x2 = 15

Take the square root of each side:
x = {-3.872983346, 3.872983346}

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